752083992 has 384 divisors, whose sum is σ = 2547417600. Its totient is φ = 197683200.

The previous prime is 752083991. The next prime is 752084017. The reversal of 752083992 is 299380257.

752083992 is a `hidden beast` number, since 7 + 520 + 8 + 39 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752083991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14190238 + ... + 14190290.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^752083992 is an apocalyptic number.

752083992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752083992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273708800).

752083992 is an abundant number, since it is smaller than the sum of its proper divisors (1795333608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

752083992 is a wasteful number, since it uses less digits than its factorization.

752083992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 752083992 is about 27424.1497953902. The cubic root of 752083992 is about 909.4010436868.

The spelling of 752083992 in words is "seven hundred fifty-two million, eighty-three thousand, nine hundred ninety-two".